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Chin. Phys. B, 2021, Vol. 30(2): 023201    DOI: 10.1088/1674-1056/abd755
Special Issue: SPECIAL TOPIC — Quantum computation and quantum simulation
SPECIAL TOPIC—Quantum computation and quantum simulation Prev   Next  

Dissipative preparation of multipartite Greenberger-Horne-Zeilinger states of Rydberg atoms

Chong Yang(杨崇)1,2, Dong-Xiao Li(李冬啸)3, and Xiao-Qiang Shao(邵晓强)1,2,
1 Center for Quantum Sciences and School of Physics, Northeast Normal University, Changchun 130024, China; 2 Center for Advanced Optoelectronic Functional Materials Research, and Key Laboratory for UV Light-Emitting Materials and Technology of Ministry of Education, Northeast Normal University, Changchun 130024, China; 3 School of Physics, International Joint Laboratory on Quantum Sensing and Quantum Metrology, Huazhong University of Science and Technology, Wuhan 430074, China
Abstract  The multipartite Greenberger-Horne-Zeilinger (GHZ) states play an important role in large-scale quantum information processing. We utilize the polychromatic driving fields and the engineered spontaneous emissions of Rydberg states to dissipatively drive three-and four-partite neutral atom systems into the steady GHZ states, at the presence of the next-nearest neighbor interaction of excited Rydberg states. Furthermore, the introduction of quantum Lyapunov control can help us optimize the dissipative dynamics of the system so as to shorten the convergence time of the target state, improve the robustness against the spontaneous radiations of the excited Rydberg states, and release the limiting condition for the strengths of the polychromatic driving fields. Under the feasible experimental conditions, the fidelities of three-and four-partite GHZ states can be stabilized at 99.24% and 98.76%, respectively.
Keywords:  multipartite entanglement      Lyapunov control      Rydberg antiblockade      quantum dissipation  
Received:  14 October 2020      Revised:  20 November 2020      Accepted manuscript online:  30 December 2020
PACS:  32.80.Ee (Rydberg states)  
  02.30.Yy (Control theory)  
  03.65.Ud (Entanglement and quantum nonlocality)  
  42.50.Lc (Quantum fluctuations, quantum noise, and quantum jumps)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11774047 and 12047525).
Corresponding Authors:  Corresponding author. E-mail: shaoxq644@nenu.edu.cn   

Cite this article: 

Chong Yang(杨崇), Dong-Xiao Li(李冬啸), and Xiao-Qiang Shao(邵晓强) Dissipative preparation of multipartite Greenberger-Horne-Zeilinger states of Rydberg atoms 2021 Chin. Phys. B 30 023201

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